442064855232 has 896 divisors, whose sum is σ = 1836875980800. Its totient is φ = 100403712000.

The previous prime is 442064855209. The next prime is 442064855249. The reversal of 442064855232 is 232558460244.

It is a happy number.

442064855232 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 64 + 8 + 552 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32858107 + ... + 32871557.

It is an arithmetic number, because the mean of its divisors is an integer number (2050084800).

Almost surely, 2^442064855232 is an apocalyptic number.

442064855232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442064855232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918437990400).

442064855232 is an abundant number, since it is smaller than the sum of its proper divisors (1394811125568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442064855232 is a wasteful number, since it uses less digits than its factorization.

442064855232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 442064855232 in words is "four hundred forty-two billion, sixty-four million, eight hundred fifty-five thousand, two hundred thirty-two".